498623942752321 has 9 divisors (see below), whose sum is σ = 515228160806433. Its totient is φ = 482538629541060.

The previous prime is 498623942752319. The next prime is 498623942752339. The reversal of 498623942752321 is 123257249326894.

The square root of 498623942752321 is 22329889.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 498623942752321 - 2¹ = 498623942752319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (498623942752381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 691866400 + ... + 692586718.

It is an arithmetic number, because the mean of its divisors is an integer number (57247573422937).

Almost surely, 2^{498623942752321} is an apocalyptic number.

498623942752321 is the 22329889-th square number.

498623942752321 is the 11164945-th centered octagonal number.

It is an amenable number.

498623942752321 is a deficient number, since it is larger than the sum of its proper divisors (16604218054112).

498623942752321 is an frugal number, since it uses more digits than its factorization.

498623942752321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440700 (or 720350 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 67.

The spelling of 498623942752321 in words is "four hundred ninety-eight trillion, six hundred twenty-three billion, nine hundred forty-two million, seven hundred fifty-two thousand, three hundred twenty-one".